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Finding the Fourth Proportional to 1,798.61, 2,694.33 and 1,646.33

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Solution

The fourth proportional to 1,798.61, 2,694.33 and 1,646.33 is: 2,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.61 : 2,694.33 = 1,646.33 : x
  2. Step 2: Convert to fraction form
    1,798.61/2,694.33 = 1,646.33/x
  3. Step 3: Cross multiply
    1,798.61x = 2,694.33 × 1,646.33
  4. Step 4: Simplify right side
    1,798.61x = 4,435,742.84
  5. Step 5: Solve for x
    x = 4,435,742.84/1,798.61
  6. Step 6: Final answer
    x = 2,466.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.